A natural number m is called a perfect square number if it can be expressed as where n is also a natural number. For example, 4 is a perfect square number because it is a natural number and it can be expressed as and 2 is also a natural number.

## How to choose some non-perfect square numbers from the list?

Please go through the article on perfect square numbers if you want better understanding on what are perfect square numbers. If you are given a list of numbers, can we rule out numbers from the list which are definitely not perfect square numbers. … [Continue reading]

## How to easily find the square of a number?

We have a property $$(a+b)^2=a^2+b^2+2ab$$ Can we easily find the value of $$54^2$$ using the above property? … [Continue reading]

## How many natural numbers lie between two consecutive perfect square numbers?

If you want to recall what are perfect square numbers then please refer to my article on What are the perfect square numbers. This article asks a question that how many natural numbers lie between two consecutive perfect square numbers. You can also … [Continue reading]

## What is the Sum of First n Odd Numbers?

If you take a look at sum of first n odd numbers, you can notice very interesting pattern. 1 = 1 $$= 1^2$$ 1 + 3 = 4 $$=2^2$$ … [Continue reading]

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